# Painless Gabor expansions on homogeneous manifolds

Hartmut Fuehr

given at  strobl07 (18.06.07 15:45)
id:  654
length:  25min
status:  accepted
type:  talk
LINK-Presentation:
ABSTRACT:
We present a novel approach to the definition of Gabor systems on homogeneous manifolds with compact stabilizers. The associated Gabor transform has several attractive properties: It maps $L^2$-functions to continuous functions on the cotangent bundle, and preserves $L^2$-norms. Moreover, it is covariant with respect to the natural group action on the cotangent bundle.
As an example, we present the case of the sphere in more detail.

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